Actually yes, but that has little to do with the percentage of Neanderthal DNA in your genome.
Our perception of Neanderthals as big oafs is clouded by our own notion of superiority and pop culture caricatures.
How we are different and why modern humans survived and Neanderthals didn't is still mostly a mystery.

What does this really mean?

There are many intriguing theories about what traits the smidgen of Neanderthal DNA may have imparted on modern humans,
but we don't know yet if having a little more than average Neanderthal DNA could explain why someone is extra brawny, short or boorish.
Those traits might just be regular human characteristics.

Genetic Evidence for Neanderthals

From bones like these three (Vi33.16, Vi33.25, Vi33.26) found in the Vindija cave in Croatia, scientists extracted Neanderthal DNA.
Using these samples they painstakingly assembled the Neanderthal genome sequence.

More about Neanderthals

Neanderthals were a group of humans who lived in Europe and Western Asia. They are the closest evolutionary relatives of modern humans,
but they went extinct about 30,000 years ago. The first Neanderthals arrived in Europe as early as 600,000 to 350,000 years ago.
Neanderthals &dash; Homo neanderthalensis &dash; and modern humans &dash; Homo sapiens &dash; lived along side each other for thousands of years.
Genetic evidence suggest that they interbred and although Neanderthals disappeared about 30,000 years ago, traces of their DNA
&dash; between 1 percent and 4 percent &dash; is found in all modern humans outside of Africa. Apart from the curiosity of finding what
percentage of a modern human's genome is Neanderthal, the information has great value for science. By comparing our DNA with Neanderthal DNA,
scientists can detect the most recent evolutionary changes as we developed into fully modern humans. Read more about the science behind this tool.